Bilocal versus nonbilocal correlations in entanglement-swapping experiments

By Cyril Branciard, D. Rosset, Nicolas Gisin, Stefano Pironio. 2011

203 citations recorded by the source corpus.

Entanglement swapping is a process bywhich two initially independent quantum systems can become entangled and generate nonlocal correlations. To characterize such correlations, we compare them to those predicted by bilocal models, where systems that are initially independent are described by uncorrelated states. We extend in this paper the analysis of bilocal correlations initiated in [Phys. Rev. Lett. 104, 170401 (2010)]. In particular, we derive new Bell-type inequalities based on the bilocality assumption in different scenarios, we study their possible quantum violations, and we analyze their resistance to experimental imperfections. The bilocality assumption, being stronger than Bell’s standard local causality assumption, lowers the requirements for the demonstration of quantumness in entanglement-swapping experiments.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b459261985cb9524f9b458778b978da5719b3edd

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Citations in the corpus

The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations require fine-tuning (2012, background): “12 This causal scenario has also been considered in the context of a discussion of quantum correlations in [14, 15].”
Causal Inference via Algebraic Geometry: Feasibility Tests for Functional Causal Structures with Two Binary Observed Variables (2015, background): “Researchers in the field of quantum foundations have now begun to apply insights obtained from the study of Bell inequalities to the problem of deriving constraints on observed correlations in more general causal scenarios [14, 19, 20, 21, 22, 23], and the current work constitutes another contributi”
Theory-independent limits on correlations from generalized Bayesian networks (2014, background): “The triangle scenario, shown in figure 4, has already received some interest in quantum foundations [8, 10, 16] and the causality literature [34].”